13 citations · 49 across the 26 of their papers we have counts for
5 papers · 1 filter
On an inverse boundary value problem for a nonlinear elastic wave equation
Gunther Uhlmann, Jian Zhai
We consider an inverse boundary value problem for a nonlinear elastic wave equation which was studied in [de Hoop, Uhlmann, Wang. Math. Ann. (2019) doi:10.1007/s00208-018-01796-y].…
Generic uniqueness and stability for the mixed ray transform
Maarten V. de Hoop, Teemu Saksala, Gunther Uhlmann +1
We consider the mixed ray transform of tensor fields on a three-dimensional compact simple Riemannian manifold with boundary. We prove the injectivity of the transform, up to natur…
Semiclassical inverse spectral problem for elastic Rayleigh waves in isotropic media
Maarten V. de Hoop, Alexei Iantchenko, Robert D. van der Hilst +1
We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we extend the treatment of Love waves [arXiv: 1908.10529] to Rayleigh waves. U…
Semiclassical inverse spectral problem for elastic Love waves in isotropic media
Maarten V. de Hoop, Alexei Iantchenko, Robert D. van der Hilst +1
We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we focus on Love waves. Under certain generic conditions, we establish uniquen…
Inversion of trace formulas for a Sturm-Liouville operator
Xiang Xu, Jian Zhai
This paper revisits the classical problem "Can we hear the density of a string?", which can be formulated as an inverse spectral problem for a Sturm-Liouville operator. Based on in…